10524737 has 2 divisors, whose sum is σ = 10524738. Its totient is φ = 10524736.

The previous prime is 10524697. The next prime is 10524739. The reversal of 10524737 is 73742501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9461776 + 1062961 = 3076^2 + 1031^2 .

It is a cyclic number.

It is not a de Polignac number, because 10524737 - 2¹⁰ = 10523713 is a prime.

It is a super-2 number, since 2×10524737² = 221540177838338, which contains 22 as substring.

Together with 10524739, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10524739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5262368 + 5262369.

It is an arithmetic number, because the mean of its divisors is an integer number (5262369).

Almost surely, 2^10524737 is an apocalyptic number.

It is an amenable number.

10524737 is a deficient number, since it is larger than the sum of its proper divisors (1).

10524737 is an equidigital number, since it uses as much as digits as its factorization.

10524737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 10524737 is about 3244.1851056930. The cubic root of 10524737 is about 219.1477842953.

It can be divided in two parts, 105 and 24737, that added together give a palindrome (24842).

The spelling of 10524737 in words is "ten million, five hundred twenty-four thousand, seven hundred thirty-seven".